The multivariate asymptotic distribution of sequential Chi-square test statistics is investigated. It is shown that: (a) when sequential Chi-square statistics are calculated for nested models on the same data, the statistics have an asymptotic intercorrelation which may be expressed in closed form, and which is, in many cases, quite high; and (b) sequential Chi-square difference tests are asymp...

10.1 The Chi-square Goodness of Fit Test. The general area of nonparametric statistical inference deals with statistical procedures such as hypothesis testing, point estimation and confidence intervals in problems where the parent distribution has no known functional form. For one reason or another, the chi-square goodness of fit test is considered to be in this area, and so we present it here....

Model validation is an important step in system identification process. However, theoretical derivation of model validity tests for neural network such as RBF network is very complicated. The current study, investigate the capability of some of the model validity tests that are widely been used namely one step ahead prediction, model predicted output, means square error and correlation tests. T...

The test of homogeneity for intraclass correlation coefficients has been one of the active topics in statistical research. Several chi-square tests have been proposed to test the homogeneity of intraclass correlations in the past few decades. The big concern for them is that these methods are seriously biased when sample sizes are not large. In this thesis, data driven approaches are proposed t...

The interaction of the effects of luminance and spatial frequency on perception of suprathreshold contrast was studied with use of a contrast-matching paradigm. Four subjects matched the appearance of Gabor patches at different luminances and spatial frequencies. The contrast of a 1-octave Gabor test patch at one of five frequencies [1-16 cycles/degree (c/deg) in 1-octave steps] and at one of s...

BACKGROUND Our study used data collected in Chung-Hsing Village to evaluate the relationship between hyperuricemia and the cardiovascular risk factors and the socio-demographic factors in the elderly in May 1998. METHODS All individuals aged 65 and over were studied. A total of 1093 subjects, out of 1774 registered residents, were contacted by face-to-face interview. The response rate was 61....

Art Assessment: Strongly Like & Like 34 76%° 26% * Indifferent 46 52% 26% * Strongly Dislike & Dislike 20 45% 35% Note: 0Indicates statistical significance at the 0.05 level according to binomial test. A chi-square test was also performed for the contingency table relating preference and identification for all Ss, and, as might be expected from the preceding, preference and identification were ...